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Finding the Fourth Proportional to 540.68, 744.39 and 457.65

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Solution

The fourth proportional to 540.68, 744.39 and 457.65 is: 630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 744.39 = 457.65 : x
  2. Step 2: Convert to fraction form
    540.68/744.39 = 457.65/x
  3. Step 3: Cross multiply
    540.68x = 744.39 × 457.65
  4. Step 4: Simplify right side
    540.68x = 340,670.08
  5. Step 5: Solve for x
    x = 340,670.08/540.68
  6. Step 6: Final answer
    x = 630.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.